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Finding the Fourth Proportional to 2,328.84, 3,214.08 and 1,445.16

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Solution

The fourth proportional to 2,328.84, 3,214.08 and 1,445.16 is: 1,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.84 : 3,214.08 = 1,445.16 : x
  2. Step 2: Convert to fraction form
    2,328.84/3,214.08 = 1,445.16/x
  3. Step 3: Cross multiply
    2,328.84x = 3,214.08 × 1,445.16
  4. Step 4: Simplify right side
    2,328.84x = 4,644,859.85
  5. Step 5: Solve for x
    x = 4,644,859.85/2,328.84
  6. Step 6: Final answer
    x = 1,994.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.